Finite Group DatabasebetaFinite Group DatabasebetaOrder 192.
258 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 258 conjugacy classes of subgroups — too many to draw. Only its 111 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 4. C2×C4×Dic3 | C2 | semidirect |
| 5. C3⋊#95 | C2 | semidirect |
| 10. C22×Dic3 | C4 | semidirect |
| 14. C3×C22⋊C4 | C4 | semidirect |
| 15. #217 | C4 | semidirect |
| 30. C2×C3×C4 | C2×C4 | semidirect |
| 37. C2×Dic3 | C2×C4 | semidirect |
| 47. C22⋊C4 | Dic3 | direct (N × H) |
| 53. C22×C3 | C42 | semidirect |
| 62. Dic3 | C22⋊C4 | direct (N × H) |
| 79. C2×C4 | C2×Dic3 | semidirect |
| 90. C22 | C4×Dic3 | semidirect |
| 100. C3 | C4×C22⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×Dic3 | 2 |
| C2×C3×C22⋊C4 | 2 |
| C2×#217 | 2 |
| C2×C4×Dic3 | 2 |
| C3⋊#95 | 2 |
| C4×C22⋊C4 | 3 |